CBSE Class 12 Differential Equations Multiple Choice Questions with Answers. MCQ Questions Class 12 Differential Equations with Answers Is Prepared Based on Latest Exam Pattern. Students can solve NCERT MCQ questions Class 12 Differential Equations with Answers to know their preparation level.
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MCQ Questions Class 12 Differential Equations with Answers - Set - 2
Question 1:
If (x2 + y2)dy = xy dx, y(1) = 1, and y(x0) = e, then x0 =
Correct Answer – (C)
Question 3:
The differential equation of all ‘Simple Harmonic Motions’ of given period 2π/n is
(a) d2x/dt2 + nx = 0
(b) d2x/dt2 + n2x = 0
(c) d2x/dt2 – n2x = 0
(d) d2x/dt2 + (1/n2)x = 0
Correct Answer – (B)
Question 4:
If dy/dx = e-2y and y = 0, when x =5 then the value of x when y = 3 is
(a) e5
(b) e6 + 1
(c) (e6 + 9)/2
(d) loge 6
Correct Answer – (C)
Question 5:
The solution of differential equation (ey + 1) cosx dx + ey sinx dy = 0 is
(a) (ey + 1) sinx = c
(b) ex sinx = c
(c) (ex + 1) cosx = c
(d) none of these
Correct Answer – (A)
MCQ Questions Class 12 Differential Equations With Answers
Question 7:
The differential equation of all parabolas whose axes are parallel to y-axis is
Correct Answer – (A)
Question 8:
If dy/dx = ysin2x, y(0) =1 then solution is
(a) y = esin2x
(b) y = sin2x
(c) y = cos2x
(d) y = ecos2x
Correct Answer – (A)
Question 9:
The solution of the differential equation dy/dx=x/(1+x2) is
Correct Answer – (C)
Question 10:
If sinx dy/dx + y cosx = x sinx, then (y – 1) sinx =
(a) c – x sinx
(b) c + xcosx
(c) c – x cos x
(d) c + x sin x
Correct Answer – (C)
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